Complete unitary qutrit control in ultracold atoms
- URL: http://arxiv.org/abs/2208.00045v2
- Date: Wed, 29 Nov 2023 22:52:30 GMT
- Title: Complete unitary qutrit control in ultracold atoms
- Authors: Joseph Lindon, Arina Tashchilina, Logan W. Cooke, and Lindsay J.
LeBlanc
- Abstract summary: We encode neutral-atom qutrits in an ensemble of ultracold $87$Rb and demonstrate arbitrary single-qutrit SU(3) gates.
This work establishes the ultracold neutral-atom qutrit as a promising platform for qutrit-based quantum information processing.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Physical quantum systems are commonly composed of more than two levels and
offer the capacity to encode information in higher-dimensional spaces beyond
the qubit, starting with the three-level qutrit. Here, we encode neutral-atom
qutrits in an ensemble of ultracold $^{87}$Rb and demonstrate arbitrary
single-qutrit SU(3) gates. We generate a full set of gates using only two
resonant microwave tones, including synthesizing a gate that effects a direct
coupling between the two disconnected levels in the three-level
$\Lambda$-scheme. Using two different gate sets, we implement and characterize
the Walsh-Hadamard Fourier transform, and find similar final-state fidelity and
purity from both approaches. This work establishes the ultracold neutral-atom
qutrit as a promising platform for qutrit-based quantum information processing,
extensions to $d$-dimensional qudits, and explorations in multilevel quantum
state manipulations with nontrivial geometric phases.
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